CBSE Class 12 Math 2011 Solved Paper

© examsnet.com
Question : 10
Total: 29
Write the intercept cut off by the plane 2x + y – z = 5 on x-axis.
Solution:  
2x + y – z = 5
Dividing both sides by 5,
2x
5
+
y
5
z
5
= 1
x
5
2
+
y
5
+
z
5
= 1
It is known that the equation of a plane in intercept form is
x
a
+
y
b
+
z
c
= 1, where a, b and c are the intercepts cut off by the plane at x, y, and z-axes respectively. Thus, the intercept cut off by the given plane on the x-axis is
5
2
© examsnet.com
Go to Question: